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This study significantly advances multi-texture synthesis using Neural Cellular Automata (NCAs) by introducing a novel training methodology that enables robust self-regeneration of textures in damaged regions. This inherent healing…

Neural and Evolutionary Computing · Computer Science 2026-05-14 Mirela-Magdalena Catrina , Ioana Cristina Plajer , Alexandra Băicoianu

We introduce a class of auto-encoder neural networks tailored to data from the natural exponential family (e.g., count data). The architectures are inspired by the problem of learning the filters in a convolutional generative model with…

Machine Learning · Computer Science 2020-06-30 Bahareh Tolooshams , Andrew H. Song , Simona Temereanca , Demba Ba

This short paper presents an abstract, tunable model of genomic structural change within the cell lifecycle and explores its use with simulated evolution. A well-known Boolean model of genetic regulatory networks is extended to include…

Computational Engineering, Finance, and Science · Computer Science 2012-01-18 Larry Bull

We Propose A Novel Automaton Model which uses Arithmetic Operations as the Evolving Rules, each cell has the states of the Natural Numbers k = (N), a radius of r = 1/2 and operates on an arbitrary input size. The Automaton reads an…

Formal Languages and Automata Theory · Computer Science 2017-05-18 Abdulrhman Elnekiti

The engineered control of cellular function through the design of synthetic genetic networks is becoming plausible. Here we show how a naturally occurring network can be used as a parts list for artificial network design, and how model…

Biological Physics · Physics 2009-11-07 Jeff Hasty , Farren Isaacs , Milos Dolnik , David McMillen , J. J. Collins

We have proposed two new evolutionary rules on spatio-iterated games that is not mimic evolution of strategies, and mainly discussed the Prisoner's Dilemma game \cite{toyota2} by the two evoutionary rules \cite{toyota3}. In this paper we…

Chaotic Dynamics · Physics 2007-05-23 Norihito Toyota

Evolving one-dimensional cellular automata (CAs) with genetic algorithms has provided insight into how improved performance on a task requiring global coordination emerges when only local interactions are possible. Two approaches that can…

adap-org · Physics 2007-05-23 Justin Werfel , Melanie Mitchell , James P. Crutchfield

Evolutionary Computation is a group of biologically inspired algorithms used to solve complex optimisation problems. It can be split into Evolutionary Algorithms, which take inspiration from genetic inheritance, and Swarm Intelligence…

Neural and Evolutionary Computing · Computer Science 2021-08-11 Sizhe Yuen , Thomas H. G. Ezard , Adam J. Sobey

How do cellular automata behave in the limit of a very large number of cells? Is there a continuum limit with simple properties? We attack this problem by mapping certain classes of automata to quantum field theories for which powerful…

Cellular Automata and Lattice Gases · Physics 2022-12-08 C. Wetterich

Biological neural networks are characterized by their high degree of plasticity, a core property that enables the remarkable adaptability of natural organisms. Importantly, this ability affects both the synaptic strength and the topology of…

Neural and Evolutionary Computing · Computer Science 2024-06-17 Erwan Plantec , Joachin W. Pedersen , Milton L. Montero , Eleni Nisioti , Sebastian Risi

We introduce a minimal model for the evolution of functional protein-interaction networks using a sequence-based mutational algorithm, and apply the model to study neutral drift in networks that yield oscillatory dynamics. Starting with a…

Molecular Networks · Quantitative Biology 2018-04-25 Md. Zulfikar Ali , Ned S. Wingreen , Ranjan Mukhopadhyay

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

This investigation studies the ergodic properties of reversible linear cellular automata over $\mathbb{Z}_m$ for $m \in \mathbb{N}$. We show that a reversible linear cellular automaton is either a Bernoulli automorphism or non-ergodic. This…

Dynamical Systems · Mathematics 2016-03-08 Chih-Hung Chang , Huilan Chang

Here I describe a view of the evolution of cellular automata that allows to operate on larger structures. Instead of calculating the next state of all cells in one step, the method here developed uses a time slice that can proceed at…

Cellular Automata and Lattice Gases · Physics 2010-07-20 Markus Redeker

Deep learning techniques have recently demonstrated broad success in predicting complex dynamical systems ranging from turbulence to human speech, motivating broader questions about how neural networks encode and represent dynamical rules.…

Cellular Automata and Lattice Gases · Physics 2020-01-20 William Gilpin

We formulate the search for phenomenological models of synaptic plasticity as an optimization problem. We employ Cartesian genetic programming to evolve biologically plausible human-interpretable plasticity rules that allow a given network…

Neural and Evolutionary Computing · Computer Science 2021-02-09 Henrik D. Mettler , Maximilian Schmidt , Walter Senn , Mihai A. Petrovici , Jakob Jordan

Under constant selection, each trait has a fixed fitness, and small mutation rates allow populations to efficiently exploit the optimal trait. Therefore it is reasonable to expect mutation rates will evolve downwards. However, we find this…

Populations and Evolution · Quantitative Biology 2022-08-23 Brian Mintz , Feng Fu

Mutation has traditionally been regarded as an important operator in evolutionary algorithms. In particular, there have been many experimental studies which showed the effectiveness of adapting mutation rates for various static optimization…

Artificial Intelligence · Computer Science 2011-06-06 Tianshi Chen , Yunji Chen , Ke Tang , Guoliang Chen , Xin Yao

This study introduces a novel theoretical framework, the Stacked Autoencoder Evolution Hypothesis, which proposes that biological evolutionary systems operate through multi-layered self-encoding and decoding processes, analogous to stacked…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Hiroyuki Iizuka

The dynamical behavior of non-uniform cellular automata is compared with the one of classical cellular automata. Several differences and similarities are pointed out by a series of examples. Decidability of basic properties like…

Formal Languages and Automata Theory · Computer Science 2011-07-27 Alberto Dennunzio , Enrico Formenti , Julien Provillard
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